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Tju [1.3M]
3 years ago
5

Which of the following is the inverse of the function given below?

Mathematics
2 answers:
Mademuasel [1]3 years ago
6 0
Rearrange so x  is the subject:-

(im assuning  the f unction f(x)  = (x + 2) / 7):-


f(x) = (x + 2)/7

7f(x)  = x + 2

x = 7f(x) - 2

replace f(x) by  x and x by another function 

f = 7x - 2


Its D
forsale [732]3 years ago
3 0

Answer:

\Rightarrow f^{-1}(x)=\frac{7x-2}{7}

Step-by-step explanation:

We  have been given the function

f(x)=x+\frac{2}{7}

Let f(x)=y

y=x+\frac{2}{7}

Taking LCM we get

y=\frac{7x+2}{7}

After rearranging the terms we will find the value of x in terms of y.

x=\frac{7y-2}{7}

f^{-1}(y)=\frac{7y-2}{7}

\Rightarrow f^{-1}(x)=\frac{7x-2}{7}

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